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Finding the Fourth Proportional to 3,092.49, 4,268.43 and 1,912.86

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Solution

The fourth proportional to 3,092.49, 4,268.43 and 1,912.86 is: 2,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.49 : 4,268.43 = 1,912.86 : x
  2. Step 2: Convert to fraction form
    3,092.49/4,268.43 = 1,912.86/x
  3. Step 3: Cross multiply
    3,092.49x = 4,268.43 × 1,912.86
  4. Step 4: Simplify right side
    3,092.49x = 8,164,909.01
  5. Step 5: Solve for x
    x = 8,164,909.01/3,092.49
  6. Step 6: Final answer
    x = 2,640.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.